{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tutorial: Variational inference in a generalized linear mixed model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adapted from [Tensorflow Probability's Linear Mixed Effects Model tutorial](https://www.tensorflow.org/probability/examples/Linear_Mixed_Effects_Model_Variational_Inference).\n",
    "This tutorial demonstrates how to use Bean Machine's variational inference to perform uncertainty-aware\n",
    "estimation in generalized linear models with both fixed and random effects."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prerequisites"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Install Bean Machine in Colab if using Colab.\n",
    "import sys\n",
    "\n",
    "\n",
    "if \"google.colab\" in sys.modules and \"beanmachine\" not in sys.modules:\n",
    "    !pip install beanmachine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import beanmachine.ppl as bm\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import torch\n",
    "import torch.distributions as dist\n",
    "from beanmachine.ppl.inference.vi import ADVI\n",
    "from beanmachine.tutorials.utils.radon import load_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "# Plotting settings\n",
    "sns.set_context('notebook')\n",
    "plt.rc(\"figure\", figsize=[8, 6])\n",
    "plt.rc(\"font\", size=14)\n",
    "plt.rc(\"lines\", linewidth=2.5)\n",
    "\n",
    "# Manual seed\n",
    "bm.seed(11)\n",
    "torch.manual_seed(11)\n",
    "\n",
    "# Other settings for the notebook.\n",
    "smoke_test = \"SANDCASTLE_NEXUS\" in os.environ or \"CI\" in os.environ"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "originalKey": "a89f4cdd-d15a-45b4-98c2-3e181335e4b6"
   },
   "source": [
    "We will consider variational inference (VI) against a regression model defined on the `radon` dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>county_index</th>\n",
       "      <th>county</th>\n",
       "      <th>floor</th>\n",
       "      <th>activity</th>\n",
       "      <th>log_activity</th>\n",
       "      <th>Uppm</th>\n",
       "      <th>log_Uppm</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>1</td>\n",
       "      <td>2.2</td>\n",
       "      <td>0.832909</td>\n",
       "      <td>0.502054</td>\n",
       "      <td>-0.689048</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>0</td>\n",
       "      <td>2.2</td>\n",
       "      <td>0.832909</td>\n",
       "      <td>0.502054</td>\n",
       "      <td>-0.689048</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>0</td>\n",
       "      <td>2.9</td>\n",
       "      <td>1.098612</td>\n",
       "      <td>0.502054</td>\n",
       "      <td>-0.689048</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.095310</td>\n",
       "      <td>0.502054</td>\n",
       "      <td>-0.689048</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>ANOKA</td>\n",
       "      <td>0</td>\n",
       "      <td>2.8</td>\n",
       "      <td>1.064711</td>\n",
       "      <td>0.428565</td>\n",
       "      <td>-0.847313</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   county_index  county  floor  activity  log_activity      Uppm  log_Uppm\n",
       "0             0  AITKIN      1       2.2      0.832909  0.502054 -0.689048\n",
       "1             0  AITKIN      0       2.2      0.832909  0.502054 -0.689048\n",
       "2             0  AITKIN      0       2.9      1.098612  0.502054 -0.689048\n",
       "3             0  AITKIN      0       1.0      0.095310  0.502054 -0.689048\n",
       "4             1   ANOKA      0       2.8      1.064711  0.428565 -0.847313"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = load_data()\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "originalKey": "9482d62c-64c3-4e76-81d7-e492926d4b10"
   },
   "source": [
    "Let's visualize the distribution over `floor` and `county`. There are two `floor`s with lots of data and many counties with little data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/f8/_w79hs797f5fp7nrm_2x_43r0000gn/T/ipykernel_95966/3673996874.py:4: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, gridspec_kw={'width_ratios': [1, 5]}, figsize=(12, 3))\n",
    "df['floor'].value_counts().plot(kind='bar', ax=ax[0])\n",
    "df['county'].value_counts().plot(kind='bar', ax=ax[1])\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model specification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "originalKey": "29f20e29-148b-45c6-be68-a51f5d03f016"
   },
   "source": [
    "Since many counties have little data, to avoid overfitting county effects we will model it as a random effect within a GLMM:\n",
    "\n",
    "$$\\log \\text{radon}_j \\sim c + \\text{floor\\_effect}_j + \\mathcal{N}(\\text{county\\_effect}_j, \\text{county\\_scale})$$\n",
    "\n",
    "Note that the scale here is global across all counties and the random effect is normal; the [hierarchical linear mixed effects models](https://en.wikipedia.org/wiki/Hierarchical_generalized_linear_model) we will look at later will generalize this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "features = df[['county_index', 'floor']].astype(int)\n",
    "labels = df[['log_activity']].astype(np.float32).values.flatten()\n",
    "floor = torch.tensor(features.floor.values)\n",
    "county_index = torch.tensor(features.county_index.values)\n",
    "\n",
    "@bm.random_variable\n",
    "def county_scale():\n",
    "    return dist.HalfNormal(scale=1.)\n",
    "\n",
    "@bm.random_variable\n",
    "def intercept():\n",
    "    return dist.Normal(loc=0., scale=1.)\n",
    "\n",
    "@bm.random_variable\n",
    "def floor_weight():\n",
    "    return dist.Normal(loc=0., scale=1.)\n",
    "\n",
    "@bm.random_variable\n",
    "def county_prior():\n",
    "    return dist.Independent(dist.Normal(\n",
    "        loc=torch.zeros(county_index.unique().numel()),\n",
    "        scale=county_scale(),\n",
    "    ), 1)\n",
    "\n",
    "\n",
    "@bm.random_variable\n",
    "def linear_response():\n",
    "    fixed_effect = intercept() + floor_weight() * floor\n",
    "    random_effect = torch.gather(county_prior(), 0, county_index)\n",
    "    return dist.Independent(dist.Normal(\n",
    "        loc=fixed_effect + random_effect,\n",
    "        scale=1.,\n",
    "    ), 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "originalKey": "deba6214-9a8b-47c1-bba3-8e4b29891e37"
   },
   "source": [
    "## Variational inference"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use ADVI to approximate the posterior. This method fits\n",
    "a mean-field product of normals guide distribution using gradient\n",
    "descent on a divegence measure between probability distributions. It\n",
    "returns a distributional approximation which gives information on both\n",
    "the parameter location as well as uncertainty in the estimate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f58e56943afc4aeca0d643a11699bd26",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/400 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "losses = []\n",
    "v_world = ADVI(\n",
    "    queries=[\n",
    "        county_prior(),\n",
    "        floor_weight(),\n",
    "        intercept(),\n",
    "        county_scale(),\n",
    "    ],\n",
    "    observations={\n",
    "        linear_response(): torch.tensor(labels),\n",
    "    },\n",
    "    optimizer=lambda params: torch.optim.Adam(params, lr=5e-2),\n",
    ").infer(\n",
    "    num_steps=400,\n",
    "    step_callback=lambda it, loss, vi_cls: losses.append(loss.item())\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can verify that convergence is obtained by plotting the loss and checking that it is decreasing and saturating:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/f8/_w79hs797f5fp7nrm_2x_43r0000gn/T/ipykernel_95966/4147618433.py:10: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "sns.lineplot(\n",
    "    ax=ax,\n",
    "    data=losses,\n",
    ").set(\n",
    "    yscale='log',\n",
    "    xlabel='Step',\n",
    "    ylabel='-ELBO',\n",
    ")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspecting posterior approximations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "originalKey": "1eb42ff3-7e1c-4fbb-b2e9-40e78fae5b63"
   },
   "source": [
    "Our variational approximations for the linear fixed effects model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Normal(loc: 1.4857617616653442, scale: 0.1068837121129036)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_world.get_guide_distribution(intercept())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Normal(loc: -0.6434646248817444, scale: 0.08476858586072922)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_world.get_guide_distribution(floor_weight())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since `county_scale()` is a `HalfNormal` with constrained support, following (Kucukelbir 2016, https://arxiv.org/abs/1603.00788)\n",
    "its variational approximation is the pushfoward of a Normal under a support-transforming bijection. This is implemented using\n",
    "a `torch.distributions.TransformedDistribution`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TransformedDistribution()"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_world.get_guide_distribution(county_scale())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To estimate its shape, we Monte-Carlo approximate its first two moments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.3378) tensor(0.0023)\n"
     ]
    }
   ],
   "source": [
    "scale_prior_sample = v_world.get_guide_distribution(county_scale()).sample((10_000,))\n",
    "print(\n",
    "    scale_prior_sample.mean(),\n",
    "    scale_prior_sample.var(),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Below we visualize the posterior county random effects estimated using ADVI. Since ADVI uses Gaussian guide distributions, uncertainty is\n",
    "quantified and the plot below also plots the standard deviation for each county random effect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 2000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "county_counts = (df.groupby(by=['county', 'county_index'], observed=True)\n",
    "                   .agg('size')\n",
    "                   .sort_values(ascending=False)\n",
    "                   .reset_index(name='count'))\n",
    "\n",
    "means = v_world.get_guide_distribution(county_prior()).base_dist.mean.detach().numpy()\n",
    "stds = v_world.get_guide_distribution(county_prior()).base_dist.stddev.detach().numpy()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(20, 5))\n",
    "\n",
    "for idx, row in county_counts.iterrows():\n",
    "  mid = means[row.county_index]\n",
    "  std = stds[row.county_index]\n",
    "  ax.vlines(idx, mid - std, mid + std, linewidth=3)\n",
    "  ax.plot(idx, means[row.county_index], 'ko', mfc='w', mew=2, ms=7)\n",
    "\n",
    "ax.set(\n",
    "    xticks=np.arange(len(county_counts)),\n",
    "    xlim=(-1, len(county_counts)),\n",
    "    ylabel=\"County effect\",\n",
    "    title=r\"Estimates of county effects on log radon levels. (mean $\\pm$ 1 std. dev.)\",\n",
    ")\n",
    "ax.set_xticklabels(county_counts.county, rotation=90);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One desirable heuristic of an uncertainty quantification method is that uncertainty should decrease with more data.\n",
    "The plot below verifies this trend by plotting the estimated posterior uncertainty (i.e. ADVI Normal approximation's standard deviation)\n",
    "versus the number of observations in that county. The size of each county implicitly affects the VI objective through the\n",
    "data likelihood, and the plot below shows that an ELBO maximizing approximation in general assigns lower uncertainty to county\n",
    "random effects with more data.\n",
    "                                                                                    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 7))\n",
    "ax.plot(np.log1p(county_counts['count']), stds[county_counts.county_index], 'o')\n",
    "ax.set(\n",
    "    ylabel='Posterior std. deviation',\n",
    "    xlabel='County log-count',\n",
    "    title='Having more observations generally\\nlowers estimation uncertainty'\n",
    ");"
   ]
  }
 ],
 "metadata": {
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
